164441441737734 has 256 divisors, whose sum is σ = 393671854080000. Its totient is φ = 45761518881792.

The previous prime is 164441441737723. The next prime is 164441441737747. The reversal of 164441441737734 is 437737144144461.

It is a super-3 number, since 3×164441441737734³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3872560587 + ... + 3872603049.

It is an arithmetic number, because the mean of its divisors is an integer number (1537780680000).

Almost surely, 2^{164441441737734} is an apocalyptic number.

164441441737734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164441441737734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196835927040000).

164441441737734 is an abundant number, since it is smaller than the sum of its proper divisors (229230412342266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164441441737734 is a wasteful number, since it uses less digits than its factorization.

164441441737734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42884 (or 42870 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 60.

The spelling of 164441441737734 in words is "one hundred sixty-four trillion, four hundred forty-one billion, four hundred forty-one million, seven hundred thirty-seven thousand, seven hundred thirty-four".